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56935350 = 23252235501
BaseRepresentation
bin1101100100110…
…0001110110110
310222010121121200
43121030032312
5104033412400
65352153330
71260641163
oct331141666
9128117550
1056935350
112a15840a
1217098846
13ba46074
1477c106a
154ee9b00
hex364c3b6

56935350 has 72 divisors (see below), whose sum is σ = 159646032. Its totient is φ = 14520000.

The previous prime is 56935339. The next prime is 56935357. The reversal of 56935350 is 5353965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56935357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7600 + ... + 13100.

It is an arithmetic number, because the mean of its divisors is an integer number (2217306).

Almost surely, 256935350 is an apocalyptic number.

56935350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56935350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79823016).

56935350 is an abundant number, since it is smaller than the sum of its proper divisors (102710682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56935350 is a wasteful number, since it uses less digits than its factorization.

56935350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 56935350 is about 7545.5516696925. The cubic root of 56935350 is about 384.7045577339.

The spelling of 56935350 in words is "fifty-six million, nine hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 5501 10350 11002 16503 27505 33006 49509 55010 82515 99018 126523 137525 165030 247545 253046 275050 379569 412575 495090 632615 759138 825150 1138707 1237725 1265230 1897845 2277414 2475450 3163075 3795690 5693535 6326150 9489225 11387070 18978450 28467675 56935350